<h2>Problem 258</h2>
<div style="color:#666;font-size:80%;">03 October 2009</div><br />
<div class="problem_content">
<p>A sequence is defined as:</p>
<p>
<ul><li><var>g</var><img src="" style="display:none;" alt="_(" /><sub><var>k</var></sub><img src="" style="display:none;" alt=")" /> = 1, for 0 <img src='images/symbol_le.gif' width='10' height='12' alt='&le;' border='0' style='vertical-align:middle;' /> <var>k</var> <img src='images/symbol_le.gif' width='10' height='12' alt='&le;' border='0' style='vertical-align:middle;' /> 1999</li>
<li><var>g</var><img src="" style="display:none;" alt="_(" /><sub><var>k</var></sub><img src="" style="display:none;" alt=")" /> = <var>g</var><img src="" style="display:none;" alt="_(" /><sub><var>k</var>-2000</sub><img src="" style="display:none;" alt=")" /> + <var>g</var><img src="" style="display:none;" alt="_(" /><sub><var>k</var>-1999</sub><img src="" style="display:none;" alt=")" />, for <var>k</var> <img src='images/symbol_ge.gif' width='10' height='12' alt='&ge;' border='0' style='vertical-align:middle;' /> 2000.
</ul></p>
<p>Find <var>g</var><img src="" style="display:none;" alt="_(" /><sub><var>k</var></sub><img src="" style="display:none;" alt=")" /> mod 20092010 for <var>k</var> = 10<img src="" style="display:none;" alt="^(" /><sup>18</sup><img src="" style="display:none;" alt=")" />.
</div><br />
